1 citations · 1 across the 4 of their papers we have counts for
4 papers
On the union of homogeneous symmetric Cantor set with its translations
Derong Kong, Wenxia Li, Zhiqiang Wang +2
Fix a positive integer and a real number . Let be the homogeneous symmetric Cantor set generated by the IFS $$ \Big\{ ϕ_i(x)=βx + i \frac{1-β}{N}: i=0,1,\cdo…
On a kind of self-similar sets with complete overlaps
Derong Kong, Yuanyuan Yao
Let be the self-similar set generated by the {\it iterated function system} {\[ f_0(x)=\frac{x}β,\quad f_1(x)=\frac{x+1}β, \quad f_{β+1}=\frac{x+β+1}β \]}with . {Then}…
Pointwise densities of homogeneous Cantor measure and critical values
Derong Kong, Wenxia Li, Yuanyuan Yao
Let and . The homogenous Cantor set is the self-similar set generated by the iterated function system \[ \left\{f_i(x)=ρx+\frac{i(1-ρ)}{N-1}: i=0,1,\ldo…
On the structure of -Cantor set with overlaps
Karma Dajani, Derong Kong, Yuanyuan Yao
Given , let be the self-similar set generated by the iterated function system . Then is a self-similar set with overlaps. We obtain…